2.3 x 10^-10; 3.2 x 10^-10; 2.3 x 10^-12; 2.3 x 10^-8
In order from smallest to largest:
2.3 x 10^-12
2.3 x 10^-10
2.3 x 10^-8
3.2 x 10^-10
To compare the given numbers in scientific notation, you need to compare the exponents first. The smaller the exponent, the closer the number is to zero.
1. 2.3 x 10^-12
2.3 x 10^-12 has the smallest exponent, so it is the closest to zero.
2. 2.3 x 10^-10
2.3 x 10^-10 has a larger exponent compared to 2.3 x 10^-12, so it is greater than 2.3 x 10^-12.
3. 3.2 x 10^-10
3.2 x 10^-10 also has a larger exponent compared to 2.3 x 10^-12, so it is also greater than 2.3 x 10^-12.
4. 2.3 x 10^-8
2.3 x 10^-8 has a larger exponent compared to both 2.3 x 10^-12 and 2.3 x 10^-10, so it is the largest number among the given values.
In summary, the numbers in increasing order from smallest to largest are: 2.3 x 10^-12, 2.3 x 10^-10, 3.2 x 10^-10, and 2.3 x 10^-8.
To compare the given values, we can rewrite them using the same power of 10. Let's convert all the values to a power of 10^-10, which means moving the decimal point 10 places to the right.
2.3 x 10^-10 = 0.00000000023
3.2 x 10^-10 = 0.00000000032
2.3 x 10^-12 = 0.00000000000023
2.3 x 10^-8 = 0.000000023
Now we can easily compare the values:
0.00000000023 < 0.00000000032 < 0.00000000000023 < 0.000000023
So, in ascending order, the values are:
2.3 x 10^-12 < 2.3 x 10^-10 < 3.2 x 10^-10 < 2.3 x 10^-8